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2,627,776

26 × 19 × 2161
Abundant Even Composite

2,627,776 factors as 2^6 × 19 × 2161. Its 28 positive divisors give a proper-divisor sum of 2,863,704, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 2161
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,491,480
Proper Divisor Sum 2,863,704
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2627771 ← → #2627789

Radix Representation

Decimal 2627776
Binary 1010000001100011000000 (22 bits)
Octal 0o12014300
Hexadecimal 0x2818C0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 2,161 4,322 8,644 17,288 34,576 41,059 69,152 82,118 138,304 164,236 328,472 656,944 1,313,888 2,627,776

Collatz Trajectory (143 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,627,776 1,313,888 656,944 328,472 164,236 82,118 41,059 123,178 61,589 184,768 92,384 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466

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